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Finding the Fourth Proportional to 3,383.57, 4,667.72 and 2,124

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Solution

The fourth proportional to 3,383.57, 4,667.72 and 2,124 is: 2,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.57 : 4,667.72 = 2,124 : x
  2. Step 2: Convert to fraction form
    3,383.57/4,667.72 = 2,124/x
  3. Step 3: Cross multiply
    3,383.57x = 4,667.72 × 2,124
  4. Step 4: Simplify right side
    3,383.57x = 9,914,226.66
  5. Step 5: Solve for x
    x = 9,914,226.66/3,383.57
  6. Step 6: Final answer
    x = 2,930.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.